Maximal Supersymmetry and B-Mode Targets

Abstract

Extending the work of Ferrara and one of the authors, we present dynamical cosmological models of $\alpha$-attractors with plateau potentials for $3\alpha =1,2,3,4,5,6,7$. These models are motivated by geometric properties of maximally supersymmetric theories: M-theory, superstring theory, and maximal $N=8$ supergravity. After a consistent truncation of maximal to minimal supersymmetry in a seven-disk geometry, we perform a two-step procedure: 1) we introduce a superpotential, which stabilizes the moduli of the seven-disk geometry in a supersymmetric minimum, 2) we add a cosmological sector with a nilpotent stabilizer, which breaks supersymmetry spontaneously and leads to a desirable class of cosmological attractor models. These models with $n_s$ consistent with observational data, and with tensor-to-scalar ratio $r\approx 10^{-2}-10^{-3}$, provide natural targets for future B-mode searches. We relate the issue of stability of inflationary trajectories in these models to tessellations of a hyperbolic geometry.

33 pages, 12 figures

References in corpus (41)

• de Sitter Vacua in String Theory
• The Standard Model Higgs boson as the inflaton
• Towards Inflation in String Theory
• Systematics of Moduli Stabilisation in Calabi-Yau Flux Compactifications
• Universality Class in Conformal Inflation
• Superconformal Inflationary $\alpha$-Attractors
• BICEP2 / Keck Array VI: Improved Constraints On Cosmology and Foregrounds When Adding 95 GHz Data From Keck Array
• Minimal Supergravity Models of Inflation
• The Unity of Cosmological Attractors
• Superconformal generalizations of the Starobinsky model
• Cosmology with Nilpotent Superfields
• The Minimal Volkov - Akulov - Starobinsky Supergravity
• The Powers of Monodromy
• Cosmological Attractors and Initial Conditions for Inflation
• Quantum Cosmological Perturbations: Predictions and Observations
• Planck, LHC, and $\alpha$-attractors
• The Hyperbolic Geometry of Cosmological Attractors
• Beginning inflation in an inhomogeneous universe
• $\overline{D3}$ and dS
• Universality classes of inflation
• Creation of a Compact Topologically Nontrivial Inflationary Universe
• Emergence of Spontaneously Broken Supersymmetry on an Anti-D3-Brane in KKLT dS Vacua
• Escher in the Sky
• Cosmological Attractor Models and Higher Curvature Supergravity
• The large-N running of the spectral index of inflation
• Inhomogeneous Anisotropic Cosmology
• Seven-Disk Manifold, alpha-attractors and B-modes
• Global String Embeddings for the Nilpotent Goldstino
• CMB and reheating constraints to α-attractor inflationary models
• Does the first chaotic inflation model in supergravity provide the best fit to the Planck data?
• Exploring cosmic origins with CORE: gravitational lensing of the CMB
• Implications of the scalar tilt for the tensor-to-scalar ratio
• Brane/antibrane dynamics and KKLT stability
• Cosmological Parameters from pre-Planck CMB Measurements: a 2017 Update
• Pole Inflation - Shift Symmetry and Universal Corrections
• Supercurvaton
• Sneutrino Inflation with $\alpha$-attractors
• Complementing the ground-based CMB Stage-4 experiment on large scales with the PIXIE satellite
• Conjecture on Hidden Superconformal Symmetry of N=4 Supergravity
• Gravitational waves and large field inflation
• On inflation, cosmological constant, and SUSY breaking

Cited by in corpus (41)

• Planck 2018 results. X. Constraints on inflation
• Dark energy, $\alpha$-attractors, and large-scale structure surveys
• Unified framework for Early Dark Energy from $\alpha$-attractors
• Instant Preheating in Quintessential Inflation with $\alpha$-Attractors
• Universality of multi-field $\alpha$-attractors
• Hybrid cosmological attractors
• $\overline{D3}$ Induced Geometric Inflation
• Hypernatural inflation
• CMB targets after the latest Planck data release
• BICEP/Keck and Cosmological Attractors
• Polynomial $\alpha$-attractors
• Fibre Inflation and $\alpha$-attractors
• Microwave Spectro-Polarimetry of Matter and Radiation across Space and Time
• Planck 2018 and Brane Inflation Revisited
• Quintessential $\alpha$-attractor inflation: forecasts for Stage IV galaxy surveys
• B-mode Targets
• Observational constraints on $\alpha$-attractor inflationary models with a Higgs-like potential
• $\alpha$-attractor inflation: Models and predictions
• Enhanced primordial gravitational waves from a stiff post-inflationary era due to an oscillating inflaton
• Uplifting Anti-D6-brane
• DESI constraints on $\alpha$-attractor inflationary models
• U(1) symmetric $\alpha$-attractors
• M-theory Cosmology, Octonions, Error Correcting Codes
• IIB String Theory and Sequestered Inflation
• $\alpha$-attractor-type Double Inflation
• Supergravity, $\alpha$-attractors and primordial non-Gaussianity
• Realising Mutated Hilltop Inflation in Supergravity
• Connecting Primordial Gravitational Waves and Dark Energy
• Mass Production of IIA and IIB dS Vacua
• Constraining the quintessential $\alpha$-attractor inflation through dynamical horizon exit method
• Thermodynamics of the Primordial Universe
• Symmetry Breaking Patterns for Inflation
• M-theory, Black Holes and Cosmology
• A New Class of Non-canonical Conformal Attractors for Multifield Inflation
• Higgs-Squark-Slepton Inflation from the MSSM
• Chaotic Inflation from the MSSM Along Flat $D$-Term Trajectory
• Spontaneous baryogenesis and generation of gravitational waves in a new model of quintessential $\alpha$-attractor
• Complementary signatures of $\alpha -$attractor inflation in CMB and cosmic string Gravitational Waves
• A novel way of constraining the $\alpha$-attractor chaotic inflation through Planck data
• Inflationary $\alpha$-Attractor From Type IIB/F Theory
• Sequestered Inflation